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Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) 0 1 0 1 2 0 1 2 SOUR CREAM APPLESAUCE

Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

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Page 1: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Superiority of the Latke:The Unexpected Convergence of Quantum

Mechanics and Common Sense

Scott Aaronson (EECS)

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Page 2: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

WHAT I WON’T DO:INSULT YOUR INTELLIGENCE

Page 3: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Abrams Hebrew Academy (Yardley, PA)

Page 4: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Quantum Computing

Page 5: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Quantum Mechanics in 1 Slide

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Quantum Mechanics:

Can apply linear transformations that conserve 2-norm of amplitude vectors

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Classical Probability:

Can apply linear transformations that conserve 1-norm of probability vectors

Page 6: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

I love the 2-norm!Even in situations where

you would’ve thought only the 1-norm would

make sense!

Page 7: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

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Probability Simplex (states of unit 1-norm):

Quantum Hilbert Space (states of unit 2-norm):

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Page 8: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

So much for quantum mechanics. What’s the commonsense case for latke superiority?

LATKES ACTUALLY TASTE BETTER

Hot, fried, covered in sour cream or applesauce

Sort of OK

Edible???

Are you ready for an argument that’s probably never been made in the 60-year history of latke-hamentash debates?

Page 9: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Here—extremely unusually—quantum mechanics and common sense converge!

Lack of quantum 2-norm symmetry favored by God

Hard, dry, “classical” 1-norm corners

Bland, barely-edible hamentashen

Page 10: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Don’t trust authority! Taste for yourself!

Page 11: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Restaurants Serving Latkes

Page 12: Superiority of the Latke: The Unexpected Convergence of Quantum Mechanics and Common Sense Scott Aaronson (EECS) SOUR CREAM APPLESAUCE

Restaurants Serving Hamentashen

?